4 problems

Let $\Omega$ and the parameters $a$, $b$, $c$, $\mu$, and $\lambda$ be as in Theorem 5.1, with $0\leqslant a<\frac{N-p}{p}$, and let the associated boundary-value problem be the eq…

Removal of the equality condition conjecture. The condition $\lambda_1=\lambda_2$ in Theorem 3 can be removed.

Global existence conjecture. The problem $$ admits a global solution whenever

Let $\Omega$ be the domain in the semilinear elliptic problem considered in the paper, let $\delta(x)$ denote the distance from $x$ to $\partial\Omega$, and let $U$ be an $XXL$-sol…